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Finding the Third Proportional to 196,965 and 429,567

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Solution

The third proportional to 196,965 and 429,567 is: 936,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,965 : 429,567 = 429,567 : x
  2. Step 2: Convert to fraction form
    196,965/429,567 = 429,567/x
  3. Step 3: Cross multiply
    196,965x = 429,567 × 429,567
  4. Step 4: Simplify right side
    196,965x = 184,527,807,489
  5. Step 5: Solve for x
    x = 184,527,807,489/196,965
  6. Step 6: Final answer
    x = 936,855.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.